research

A compatible mixed finite element method for large deformation analysis of solids in spatial configuration

Submitted by M. Jahanshahi on Thu, 06/09/2022 - 00:12

Mixed finite element methods; finite element exterior calculus; nonlinear elasticity; incompressible elasticity; Hilbert complex

In this work, a new mixed finite element formulation is presented for the analysis of two-dimensional compressible solids in finite strain regime. A three-field Hu-Washizu functional, with displacement, displacement gradient and stress tensor considered as independent fields, is utilized to develop the formulation in spatial configuration. Certain constraints are imposed on displacement gradient and stress tensor so that they satisfy the required continuity conditions across the boundary of elements.

The Universal Program of Nonlinear Hyperelasticity

Submitted by arash_yavari on Mon, 06/06/2022 - 17:08

research

Universal deformations

Nonlinear elasticity

anisotropic elasticity

inhomogeneity

functionally-graded materials

For a given class of materials, universal deformations are those that can be maintained in the absence of body forces by applying only boundary tractions. Universal deformations play a crucial role in nonlinear elasticity.

Multiscale modeling of viscoelastic behavior of unidirectional composite laminates and deployable structures

Submitted by Jinxiong Zhou on Wed, 06/01/2022 - 03:35

research

multiscale modeling; finite element method; deployable structures; composite structures

Due to the inherent viscoelasticity of constituent matrix and the possibility of long-term storage, space deployable structures made of composites are likely to exhibit relaxation in the stored strain energy, which may degrade their deployment performance. This paper presents a bottom-up finite element based multiscale computational strategy that bridges the experimentally measurable properties of constituent fibers and matrix to numerical predictions of viscoelastic behavior of composite laminates and general shell structures.

Damping Matrix of the Constant Strain Tetrahedron

Submitted by mohammedlamine on Tue, 05/31/2022 - 21:07

barycentric coordinates

Four nodes

To be published on

Civil Engineering Research & Technology

ISSN: 2754-4982

Machine learning based prediction of the electronic structure of quasi-one-dimensional materials under strain

Submitted by Shashank Pathrudkar on Tue, 05/31/2022 - 13:34

research

I am happy to share our recent work, that has been published in the Physical Review B journal. I would be happy to share the paper with anyone interested, let me know if you cannot access the paper otherwise.

PRB link: https://journals.aps.org/prb/pdf/10.1103/PhysRevB.105.195141

Arxiv Link: https://arxiv.org/abs/2202.00930

Spatiotemporally Programmable Surfaces via Viscoelastic Shell Snapping

Submitted by yuzhen on Mon, 05/30/2022 - 13:31

research

By Yuzhen Chen, Tianzhen Liu, Lihua Jin*

Droplets on lubricated surfaces: The slow dynamics of skirt formation

Submitted by Zhaohe Dai on Sat, 05/28/2022 - 05:36

Dear iMechanicians,

I would like to share our recent work published in Phys. Rev. Fluids on the statics and dynamics of droplets on lubricated surfaces:

Droplets on lubricated surfaces: The slow dynamics of skirt formation

Zhaohe Dai and Dominic Vella

Size effects and failure regimes in notched micro-cantilever beam fracture

Submitted by Parag Tandaiya on Thu, 05/26/2022 - 09:29

research

Micro-cantilever beam fracture

Size effects

fracture toughness test

Notched micro-cantilever beam fracture (MCF) experiments are increasingly being used to measure fracture toughness of materials at the micro-scale and draw conclusions about size-effects in them. In our recent paper published in Acta Materialia, 'Size effects and failure regimes in notched micro-cantilever beam fracture', we elucidate the failure regimes in MCF experiments and discuss the conditions for validity of MCF tests.